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Popular >

simplify 2*3^{-2}

Solution

simplify

2 \cdot 3^{- 2}

Solution

\frac{2}{9}

+1

Decimal Notation

0.22222 \dots

Solution steps

2 \cdot 3^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

3^{- 2} = \frac{1}{3 ^{2}}

= 2 \cdot \frac{1}{3 ^{2}}

3^{2} = 9

= 2 \cdot \frac{1}{9}

2 \cdot \frac{1}{9} = \frac{2}{9}

= \frac{2}{9}

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Frequently Asked Questions (FAQ)

What is 2*3^{-2} ?
The solution to 2*3^{-2} is 2/9